{
  "id": "1205.1302",
  "version": "v1",
  "published": "2012-05-07T07:18:34.000Z",
  "updated": "2012-05-07T07:18:34.000Z",
  "title": "A positive mass theorem for low-regularity metrics",
  "authors": [
    "James D. E. Grant",
    "Nathalie Tassotti"
  ],
  "comment": "Announcement, 4 pages, comments welcome",
  "categories": [
    "math.DG",
    "gr-qc",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We prove a positive mass theorem for continuous Riemannian metrics in the Sobolev space $W^{2, n/2}_{\\mathrm{loc}}(M)$. We argue that this is the largest class of metrics with scalar curvature a positive a.c. measure for which the positive mass theorem may be proved by our methods.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-05-07T07:18:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C20",
      "83C99"
    ],
    "keywords": [
      "positive mass theorem",
      "low-regularity metrics",
      "scalar curvature",
      "continuous riemannian metrics",
      "largest class"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1113743,
      "adsabs": "2012arXiv1205.1302G"
    }
  }
}